Rise time, Peak time, maximum peak overshoot, settling time, and steady-state error are mutually dependent:

Rise time, peak time, maximum peak overshoot, settling time, and steady-state error are all important performance metrics when analyzing the response of a control system. These parameters are interrelated and can affect each other in different ways.

Interdependency of the parameters:
- Rise time: The time taken for the system response to go from 10% to 90% of its final value.
- Peak time: The time taken for the response to reach the peak value.
- Maximum peak overshoot: The maximum percentage by which the response overshoots the final value.
- Settling time: The time taken for the response to settle within a specified error band.
- Steady-state error: The difference between the desired value and the actual value of the system output as time approaches infinity.

Relationship between the parameters:
- The rise time affects the settling time, as a faster rise time usually results in a shorter settling time.
- The peak time is inversely related to the settling time, meaning a shorter peak time usually leads to a longer settling time.
- The maximum peak overshoot can impact both the rise time and settling time, as a higher overshoot may result in longer settling time and slower rise time.
- The steady-state error is influenced by the settling time, as a shorter settling time generally leads to a lower steady-state error.

Conclusion:
In conclusion, rise time, peak time, maximum peak overshoot, settling time, and steady-state error are indeed mutually dependent in a control system, and changes in one parameter can affect the others. It is essential to consider these relationships when designing and analyzing control systems for optimal performance.