Texas Instruments' TMS320F28377DPTPS is a powerful dual-core microcontroller that offers high performance and high integration for demanding control applications. A TMS320F28x DSP generating device, it belongs to. The device belongs to the TMS320F28x DSP family. It includes capabilities for enhanced processing, such as Floating-Point Unit (FPU), Trigonometric Math Unit (TAU), and Viterbo, Complex Math, and CRC Unit (ICU). Now, let's delve into a general circuit connection procedure for TMS320F28377DPTPS:

1. RADIO (Pins 31, 61, 96): These pins are for the device's digital I/O supply voltage. They should be connected to a 3.3V power supply. Decoupling capacitors of around 0.1µF should be located close to these pins and connected to the system ground.

2. GND (Pins 32, 64, 95): These are the ground pins of TMS320F28377DPTPS. Make sure these pins are connected to your system ground.

3. X1 (Pin 6) & X2 (Pin 7): These are the oscillator pins. Connect a crystal oscillator between these pins for generating the system clock. Two capacitors, usually in the range of 15-30pF, should be connected from these pins to ground.

4. RESET (Pin 88): This pin is used to reset the microcontroller. An external reset circuit or push-button should be connected here. Though this pin has an internal pull-up resistor, it's recommended to add an external pull-up resistor and a capacitor for stability.

5. GPIS (Various Pins): The TMS320F28377DPTPS has many General-Purpose Input/Output pins that can be used for interfacing with other devices, sensors, actuators, etc. The configuration of these pins would depend on your specific application needs.

6. JTAG (Pins 2, 3, 4, 5, 77): These pins are used for debugging and programming the microcontroller. A JTAG interface should be connected to these pins.

Remember, this is a high-level guide to connecting some main pins on the TMS320F28377DPTPS microcontroller. Numerous additional functions and accessories can be set up according to your own requirements. Therefore, always refer to the data sheet and reference manual for detailed information when designing your circuit.