Input-to-State Stability of Nonlinear Switched Systems with Hybrid Inputs and Delayed Impulses

Key Points

• Input-to-state stability is achieved in nonlinear switched systems with specific hybrid inputs, enhancing system reliability.
• The findings emphasize the role of delayed impulses on the stability of these systems, contributing to current control theory.
• The study applies new methods to analyze hybrid systems, revealing conditions for maintaining stability under certain inputs.
• These insights may enable improvements in the design of control systems, particularly in applications requiring rapid and reliable responses.