This paper presents a new delay system approach to network-based control. The approach is based on a new time-delay model that contains multiple successive delay components in the state. The paper proposes new results on stability and $ H_{\infty} $ performance for systems with two successive delay components, using a new Lyapunov-Krasovskii functional and novel techniques for time-delay systems. An illustrative example is provided to show the advantage of these results. The second part of the paper applies the new model to investigate network-based control, which has emerged as a topic of significant interest in the control community. A sampled-data networked control system with simultaneous consideration of network induced delays, data packet dropouts, and measurement quantization is modeled as a nonlinear time-delay system with two successive delay components in the state, and the problem of network-based $ H_{\infty} $ control is solved accordingly. Illustrative examples are provided to show the advantage and applicability of the developed results for network-based controller design. The paper discusses the importance of time-delay systems in control theory, highlighting their relevance in various applications. It also explores the concept of network-based control, which has gained attention due to the increasing use of communication networks in industrial systems. The paper introduces a new model for time-delay systems that accounts for multiple delay components, which can be more accurate in modeling real-world scenarios. The new model is then applied to network-based control, where the system is modeled as a nonlinear time-delay system with two successive delay components in the state. The paper proposes new stability and $ H_{\infty} $ performance conditions for systems with multiple successive delay components, and applies these conditions to network-based control. The results show that the new model and conditions can provide better performance in network-based control applications. The paper also discusses the use of Lyapunov-Krasovskii functionals and other techniques for analyzing the stability and performance of time-delay systems. The results are validated through illustrative examples, demonstrating the effectiveness of the new model and conditions in network-based control.This paper presents a new delay system approach to network-based control. The approach is based on a new time-delay model that contains multiple successive delay components in the state. The paper proposes new results on stability and $ H_{\infty} $ performance for systems with two successive delay components, using a new Lyapunov-Krasovskii functional and novel techniques for time-delay systems. An illustrative example is provided to show the advantage of these results. The second part of the paper applies the new model to investigate network-based control, which has emerged as a topic of significant interest in the control community. A sampled-data networked control system with simultaneous consideration of network induced delays, data packet dropouts, and measurement quantization is modeled as a nonlinear time-delay system with two successive delay components in the state, and the problem of network-based $ H_{\infty} $ control is solved accordingly. Illustrative examples are provided to show the advantage and applicability of the developed results for network-based controller design. The paper discusses the importance of time-delay systems in control theory, highlighting their relevance in various applications. It also explores the concept of network-based control, which has gained attention due to the increasing use of communication networks in industrial systems. The paper introduces a new model for time-delay systems that accounts for multiple delay components, which can be more accurate in modeling real-world scenarios. The new model is then applied to network-based control, where the system is modeled as a nonlinear time-delay system with two successive delay components in the state. The paper proposes new stability and $ H_{\infty} $ performance conditions for systems with multiple successive delay components, and applies these conditions to network-based control. The results show that the new model and conditions can provide better performance in network-based control applications. The paper also discusses the use of Lyapunov-Krasovskii functionals and other techniques for analyzing the stability and performance of time-delay systems. The results are validated through illustrative examples, demonstrating the effectiveness of the new model and conditions in network-based control.